Metrics for subtraction fraction

analyze14.0ms (0.2%)

Memory

-19.8MiB live, 16.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample591.0ms (7.2%)

Memory

68.5MiB live, 749.3MiB allocated

Samples

339.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-div: 54.0ms (28.8% of total)

ival-add: 45.0ms (24% of total)

ival-sub: 44.0ms (23.4% of total)

ival-neg: 35.0ms (18.6% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess76.0ms (0.9%)

Memory

-29.0MiB live, 95.4MiB allocated

Algorithm

1×	egg-herbie

Rules

424×	`times-frac`
310×	`div-sub`
304×	`lower-fma.f64`
304×	`lower-fma.f32`
214×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	61	35
2	171	35
3	414	35
4	1172	35
5	1446	35
6	1503	35
7	1571	35
8	1628	35
0	6	8
0	10	8
1	21	8
2	41	8
3	78	7
4	163	7
5	307	7
6	610	7
7	722	7
8	754	7
9	770	7
10	771	7
0	771	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))

explain103.0ms (1.3%)

Memory

12.6MiB live, 90.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(neg.f64 (+.f64 f n))`
-	-	`(+.f64 f n)`
-	-	`(-.f64 f n)`
-	-	`f`
-	-	`n`
-	-	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

44.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 23.0ms (71.5% of total)

ival-sub: 3.0ms (9.3% of total)

ival-div: 3.0ms (9.3% of total)

ival-neg: 2.0ms (6.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify26.0ms (0.3%)

Memory

-4.6MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(neg.f64 (+.f64 f n))
✓	cost-diff	128	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Rules

304×	`lower-fma.f64`
304×	`lower-fma.f32`
214×	`div-sub`
176×	`lower-*.f64`
176×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 f n)

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(neg.f64 (+.f64 f n))
(-.f64 (neg.f64 n) f)
(+.f64 f n)
f
n
(-.f64 f n)

localize154.0ms (1.9%)

Memory

-14.7MiB live, 25.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(neg.f64 (+.f64 f n))
✓	accuracy	100.0%	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Samples

12.0ms

256×

valid

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (35.9% of total)

ival-sub: 1.0ms (18% of total)

ival-add: 1.0ms (18% of total)

ival-neg: 1.0ms (18% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))>
#<alt (neg.f64 (+.f64 f n))>
#<alt (+.f64 f n)>
#<alt (-.f64 f n)>

Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	n	@	inf	(/ (neg (+ f n)) (- f n))
0.0ms	f	@	inf	(/ (neg (+ f n)) (- f n))
0.0ms	f	@	0	(/ (neg (+ f n)) (- f n))
0.0ms	n	@	-inf	(/ (neg (+ f n)) (- f n))
0.0ms	f	@	-inf	(/ (neg (+ f n)) (- f n))

simplify417.0ms (5.1%)

Memory

20.8MiB live, 512.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
3 728×	`lower-*.f64`
3 728×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 (/.f64 n (neg.f64 f)) (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal 1 binary64))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 (*.f64 n (+.f64 n n)) f) n)) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 (/.f64 n (neg.f64 f)) (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal 1 binary64))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 n) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 n) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 n) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 n) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)

rewrite198.0ms (2.4%)

Memory

-1.2MiB live, 352.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 824×	`lower-*.f64`
2 824×	`lower-*.f32`
2 620×	`lower-/.f32`
2 618×	`lower-/.f64`
1 912×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 572

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64)) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f f)) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 n (+.f64 f n))))
(+.f64 (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 n (+.f64 f n))) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f f)))
(+.f64 (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (.f64 n n))) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f n)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(+.f64 (.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))) (.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))) (.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (.f64 (fma.f64 f f (.f64 n n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))) (.f64 (.f64 f n) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) (.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(+.f64 (.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) (.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 f) (-.f64 f n)) (/.f64 n (-.f64 f n)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 (.f64 f f) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)))
(fma.f64 (fma.f64 f f (.f64 n n)) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 (.f64 f n) (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 f f) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))))
(fma.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (.f64 n (+.f64 f n)) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)))
(fma.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (.f64 n n)) (.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (neg.f64 (.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 n f)))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (-.f64 n f) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (neg.f64 (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n)))) (.f64 (-.f64 f n) (.f64 (+.f64 f n) (+.f64 f n))))
(/.f64 (.f64 (+.f64 f n) (+.f64 f n)) (.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal -1 binary64) (+.f64 f n)))
(/.f64 (neg.f64 (.f64 (+.f64 f n) (+.f64 f n))) (.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (/.f64 (+.f64 f n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 (.f64 (-.f64 (neg.f64 f) n) (fma.f64 f f (.f64 n (+.f64 f n)))) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 f n)) (.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 n f)) (.f64 (-.f64 f n) (-.f64 (neg.f64 f) n))) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (-.f64 n f))))) (.f64 (-.f64 f n) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (.f64 (-.f64 f n) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (-.f64 n f))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 f n) (-.f64 f n))) (.f64 (-.f64 f n) (.f64 (+.f64 f n) (-.f64 f n)))) (.f64 (-.f64 f n) (.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) #s(literal 1 binary64)) (.f64 (fma.f64 f f (.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 f f (.f64 n (-.f64 n f)))) (-.f64 f n)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (-.f64 f n) (neg.f64 (fma.f64 f f (.f64 n (-.f64 n f))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) #s(literal 1 binary64)) (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 f f (.f64 n (-.f64 n f)))) (-.f64 n f)))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n)))) #s(literal 1 binary64)) (.f64 (*.f64 (+.f64 f n) (+.f64 f n)) (-.f64 f n)))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 f n) (+.f64 f n))) #s(literal 1 binary64)) (*.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) #s(literal -1 binary64)) (.f64 (fma.f64 f f (.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (.f64 (.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n)))) #s(literal -1 binary64)) (.f64 (*.f64 (+.f64 f n) (+.f64 f n)) (-.f64 n f)))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 f n) (+.f64 f n))) #s(literal -1 binary64)) (*.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n))))) (.f64 (-.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 f n) (+.f64 f n)))) (*.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (.f64 (-.f64 n f) (fma.f64 f f (.f64 n (-.f64 n f)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n))))) (.f64 (-.f64 n f) (*.f64 (+.f64 f n) (+.f64 f n))))
(/.f64 (.f64 (-.f64 (neg.f64 f) n) (fma.f64 (.f64 n (.f64 n n)) (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n))) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f))))) (.f64 (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))) (fma.f64 (.f64 n (+.f64 f n)) (-.f64 (.f64 n (+.f64 f n)) (.f64 f f)) (.f64 f (.f64 f (*.f64 f f))))))
(/.f64 (.f64 (-.f64 (neg.f64 f) n) (.f64 (fma.f64 f f (.f64 n (+.f64 f n))) (-.f64 (.f64 f f) (.f64 n (+.f64 f n))))) (.f64 (.f64 (-.f64 f n) (fma.f64 f f (.f64 n (+.f64 f n)))) (-.f64 (.f64 f f) (.f64 n (+.f64 f n)))))
(/.f64 (.f64 (-.f64 (neg.f64 f) n) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (.f64 (-.f64 (neg.f64 f) n) (.f64 (+.f64 f n) (-.f64 f n))) (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)))
(/.f64 (.f64 (-.f64 (neg.f64 f) n) (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (.f64 (-.f64 (neg.f64 f) n) (.f64 (+.f64 f n) (-.f64 n f))) (.f64 (.f64 (+.f64 f n) (-.f64 f n)) (-.f64 n f)))
(/.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) (-.f64 f n))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n))))))
(/.f64 (/.f64 (-.f64 (neg.f64 f) n) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)))) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (+.f64 f n) (-.f64 f n))) (-.f64 f n))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (fma.f64 f f (*.f64 n (-.f64 n f))))
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(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (neg.f64 (fma.f64 f f (.f64 n (-.f64 n f)))))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f))
(.f64 (/.f64 (.f64 (+.f64 f n) (-.f64 n f)) (neg.f64 (.f64 (+.f64 f n) (.f64 (+.f64 f n) (+.f64 f n))))) (*.f64 (+.f64 f n) (+.f64 f n)))

eval85.0ms (1%)

Memory: -19.2MiB live, 187.3MiB allocated
Compiler: Compiled 16 019 to 1 649 computations (89.7% saved)

prune118.0ms (1.4%)

Memory

-13.1MiB live, 146.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	650	9	659
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	651	9	660

Accuracy

100.0%

Counts

660 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
	47.4%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶	55.0%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	100.0%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
	54.5%	#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)))
▶	46.9%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
	46.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶	54.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 168 to 98 computations (41.7% saved)

simplify97.0ms (1.2%)

Memory

29.5MiB live, 108.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(neg.f64 n)
✓	cost-diff	128	(/.f64 (neg.f64 n) (-.f64 f n))
✓	cost-diff	896	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
✓	cost-diff	0	(+.f64 f f)
✓	cost-diff	0	(/.f64 (+.f64 f f) n)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓	cost-diff	0	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(neg.f64 f)
✓	cost-diff	0	#s(approx (neg (+ f n)) (neg.f64 f))
✓	cost-diff	0	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	cost-diff	0	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 f n)
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 (-.f64 n f) (+.f64 f n))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))

Rules

944×	`lower-fma.f64`
944×	`lower-fma.f32`
544×	`lower-*.f64`
544×	`lower-*.f32`
426×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	125
0	39	122
1	65	122
2	119	115
3	211	115
4	395	115
5	778	115
6	1351	115
7	1625	115
8	1782	115
9	1876	115
10	1920	115
11	1921	115
0	1921	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 f n))
(-.f64 n f)
n
f
(+.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
#s(literal 1 binary64)
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.f64 f n))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 f n))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
n
f
(+.f64 f n)
(+.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 n (-.f64 n f))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.f64 f n))

localize141.0ms (1.7%)

Memory

-12.1MiB live, 146.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 n)
✓	accuracy	100.0%	(/.f64 (neg.f64 n) (-.f64 f n))
✓	accuracy	100.0%	(/.f64 f (-.f64 f n))
✓	accuracy	100.0%	(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
✓	accuracy	100.0%	(/.f64 (+.f64 f f) n)
✓	accuracy	100.0%	(+.f64 f f)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓	accuracy	46.9%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(neg.f64 f)
✓	accuracy	100.0%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	accuracy	54.8%	#s(approx (neg (+ f n)) (neg.f64 f))
✓	accuracy	54.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 f n)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	accuracy	100.0%	(/.f64 (-.f64 n f) (+.f64 f n))

Samples

100.0ms

256×

valid

Compiler

Compiled 111 to 21 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 46.0ms (70% of total)

ival-add: 7.0ms (10.7% of total)

ival-sub: 6.0ms (9.1% of total)

ival-neg: 6.0ms (9.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory

-0.2MiB live, 38.4MiB allocated

Counts

17 → 372

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))>
#<alt (/.f64 (-.f64 n f) (+.f64 f n))>
#<alt (-.f64 n f)>
#<alt (+.f64 f n)>
#<alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))>
#<alt (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))>
#<alt #s(approx (neg (+ f n)) (neg.f64 f))>
#<alt (neg.f64 f)>
#<alt (-.f64 f n)>
#<alt #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))>
#<alt (/.f64 (+.f64 f f) n)>
#<alt (+.f64 f f)>
#<alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))>
#<alt (/.f64 (neg.f64 n) (-.f64 f n))>
#<alt (neg.f64 n)>
#<alt (/.f64 f (-.f64 f n))>

Outputs
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* 2 (/ n f)) 1)>
#<alt (- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ f n))) (/ f n))>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ f n))) (/ f n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ f n)))>
#<alt (+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (/ n f) (+ 1 (* -1 (/ n f))))>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))>
#<alt (- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 n) n) f)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* 2 (/ f n))>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)>
#<alt (- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 (/ f n))>
#<alt (* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))>
#<alt (* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt (* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))>
#<alt (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))>
#<alt (+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))>
#<alt (* -1 (/ f n))>
#<alt (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)>
#<alt (/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)>
#<alt (/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)>
#<alt (* -1 (/ f n))>
#<alt (* -1 (/ (+ f (/ (pow f 2) n)) n))>
#<alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>

Calls

93 calls:

Time	Variable		Point	Expression
9.0ms	n	@	inf	(/ (neg n) (- f n))
2.0ms	f	@	inf	(/ (+ f f) n)
1.0ms	f	@	inf	(/ 1 (/ (- n f) (+ f n)))
1.0ms	f	@	inf	(/ f (- f n))
1.0ms	n	@	inf	(/ (- n f) (+ f n))

simplify370.0ms (4.5%)

Memory

26.5MiB live, 658.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 388×	`lower-fma.f64`
12 388×	`lower-fma.f32`
3 736×	`lower-*.f64`
3 736×	`lower-*.f32`
2 594×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	498	3641
1	1586	3135
2	4665	2883
0	8247	2634

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 360

Calls

Call 1

Inputs
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* 2 (/ n f)) 1)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
1
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
-1
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
1
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
1
(+ 1 (/ n f))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
1
(+ 1 (/ n f))
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(* -1 (/ f n))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(* -1 (/ f n))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))

Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (.f64 f (.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (/.f64 (.f64 f (+.f64 f f)) n) (.f64 f (+.f64 f f))) n)) n))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (/.f64 (.f64 f (+.f64 f f)) n) (.f64 f (+.f64 f f))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (/.f64 (.f64 f (+.f64 f f)) n) (.f64 f (+.f64 f f))) n)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 n (.f64 n n)) (.f64 f (.f64 f f))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (fma.f64 n (+.f64 n n) (/.f64 (.f64 n (.f64 n (+.f64 n n))) f)) f)) f))
-1
#s(literal -1 binary64)
(- (* 2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f)) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (+.f64 (/.f64 (+.f64 n n) (.f64 f (.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(fma.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal -2 binary64) n)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(fma.f64 f (fma.f64 f (fma.f64 #s(literal -2 binary64) (/.f64 f (.f64 n (.f64 n n))) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal -2 binary64) n)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (+.f64 f f)) n)) n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 f (+.f64 f f) (/.f64 (.f64 #s(literal -2 binary64) (.f64 f (*.f64 f f))) n)) n) (+.f64 f f)) n))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ f n)))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal -2 binary64) n)) #s(literal 1 binary64))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 f (fma.f64 f (fma.f64 #s(literal -2 binary64) (/.f64 f (.f64 n (.f64 n n))) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal -2 binary64) n)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ n f) (+ 1 (* -1 (/ n f))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f)) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(fma.f64 (.f64 n n) (/.f64 (+.f64 n n) (.f64 f (.f64 f f))) (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (.f64 f f)) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f)) (/.f64 #s(literal 2 binary64) f)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 n n) (/.f64 (.f64 n (*.f64 n (+.f64 n n))) f)) f) (+.f64 n n)) f))
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (*.f64 n (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (*.f64 n (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (*.f64 n (/.f64 f n)))
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (*.f64 n (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (*.f64 n (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (*.f64 n (/.f64 f n)))
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* f (- (/ n f) 1))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* f (- (/ n f) 1))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (/.f64 (*.f64 f n) f) f)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (/.f64 (.f64 f (+.f64 f f)) n) (.f64 f (+.f64 f f))) n)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 n (/.f64 (fma.f64 n n (/.f64 (.f64 n (.f64 n n)) f)) f)) f) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (fma.f64 n (+.f64 n n) (/.f64 (.f64 n (.f64 n (+.f64 n n))) f)) f)) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (.f64 f (.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (/.f64 (.f64 f (+.f64 f f)) n) (.f64 f (+.f64 f f))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (/.f64 (.f64 f (+.f64 f f)) n) (.f64 f (+.f64 f f))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (/.f64 (.f64 f (+.f64 f f)) n) (.f64 f (+.f64 f f))) n)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 n (/.f64 (fma.f64 n n (/.f64 (.f64 n (.f64 n n)) f)) f)) f) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
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(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/.f64 (-.f64 (neg.f64 n) (/.f64 (fma.f64 n n (/.f64 (.f64 n (.f64 n n)) f)) f)) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(/.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 n n (/.f64 (.f64 n (.f64 n n)) f))) f) (/.f64 (pow.f64 n #s(literal 4 binary64)) (.f64 f (.f64 f f)))) n) f)
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(neg.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (-.f64 (neg.f64 n) (/.f64 (fma.f64 n n (/.f64 (.f64 n (.f64 n n)) f)) f)) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 n (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) (neg.f64 f))
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(neg.f64 (/.f64 (fma.f64 f (/.f64 f n) f) n))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(.f64 f (fma.f64 f (-.f64 (/.f64 #s(literal -1 binary64) (.f64 n n)) (/.f64 f (.f64 n (.f64 n n)))) (/.f64 #s(literal -1 binary64) n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(.f64 f (fma.f64 f (fma.f64 f (-.f64 (/.f64 #s(literal -1 binary64) (.f64 n (.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 n n))) (/.f64 #s(literal -1 binary64) n)))
1
#s(literal 1 binary64)
(+ 1 (/ n f))
(+.f64 (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 n (/.f64 (fma.f64 n n (/.f64 (.f64 n (.f64 n n)) f)) f)) f))
1
#s(literal 1 binary64)
(+ 1 (/ n f))
(+.f64 (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 n (/.f64 (fma.f64 n n (/.f64 (.f64 n (.f64 n n)) f)) f)) f))
1
#s(literal 1 binary64)
(+ 1 (/ n f))
(+.f64 (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 n (/.f64 (fma.f64 n n (/.f64 (.f64 n (.f64 n n)) f)) f)) f))
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(neg.f64 (/.f64 (fma.f64 f (/.f64 f n) f) n))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/.f64 (-.f64 (neg.f64 f) (/.f64 (fma.f64 f (/.f64 (.f64 f f) n) (.f64 f f)) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (.f64 n (.f64 n (neg.f64 n)))) (+.f64 f (/.f64 (fma.f64 f (/.f64 (.f64 f f) n) (.f64 f f)) n))) n)
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(neg.f64 (/.f64 (fma.f64 f (/.f64 f n) f) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(/.f64 (-.f64 (neg.f64 f) (/.f64 (fma.f64 f (/.f64 (.f64 f f) n) (.f64 f f)) n)) n)
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 f (/.f64 (fma.f64 f f (/.f64 (fma.f64 f (*.f64 f f) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) n)) n)) (neg.f64 n))

rewrite576.0ms (7%)

Memory

-31.8MiB live, 567.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 438×	`lower-*.f64`
5 438×	`lower-*.f32`
5 208×	`lower-/.f32`
5 196×	`lower-/.f64`
2 494×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	111
0	39	108
1	167	101
2	1517	101
0	8605	99

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 1 784

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (-.f64 n f) (+.f64 f n))
(-.f64 n f)
(+.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(/.f64 (+.f64 f f) n)
(+.f64 f f)
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(/.f64 f (-.f64 f n))

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(+.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n)))))
(+.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(+.f64 (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 n (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1 binary64)))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (-.f64 f (neg.f64 n)) (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 (.f64 n (-.f64 f n))) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 f (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n))))
(-.f64 (/.f64 (/.f64 (.f64 n (.f64 n n)) (.f64 (.f64 (-.f64 f n) (-.f64 f n)) (-.f64 n f))) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))))) (/.f64 (/.f64 (.f64 f (.f64 f f)) (.f64 (-.f64 f n) (.f64 (-.f64 f n) (-.f64 f n)))) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))))))
(-.f64 (/.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)) (/.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (neg.f64 (.f64 n (-.f64 f n))) (.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 f (-.f64 f n)) (.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 n (.f64 n n)) (.f64 (.f64 (-.f64 f n) (-.f64 f n)) (-.f64 n f))) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (.f64 f (.f64 f f)) (.f64 (-.f64 f n) (.f64 (-.f64 f n) (-.f64 f n)))) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 (/.f64 (+.f64 (neg.f64 f) #s(literal 0 binary64)) (-.f64 f n)) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 (.f64 f f) (.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (.f64 n n) (.f64 (-.f64 n f) (-.f64 f n))))
(-.f64 (/.f64 (/.f64 (-.f64 f n) f) (.f64 (/.f64 (-.f64 n f) n) (/.f64 (-.f64 f n) f))) (/.f64 (.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 n f) n) (/.f64 (-.f64 f n) f))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (-.f64 f n)) (.f64 (/.f64 (-.f64 n f) n) (-.f64 f n))) (/.f64 (.f64 (/.f64 (-.f64 n f) n) f) (.f64 (/.f64 (-.f64 n f) n) (-.f64 f n))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (-.f64 n f)) (.f64 (/.f64 (-.f64 n f) n) (-.f64 n f))) (/.f64 (.f64 (/.f64 (-.f64 n f) n) (neg.f64 f)) (.f64 (/.f64 (-.f64 n f) n) (-.f64 n f))))
(-.f64 (/.f64 (.f64 (neg.f64 n) (/.f64 (-.f64 f n) f)) (.f64 (-.f64 f n) (/.f64 (-.f64 f n) f))) (/.f64 (.f64 (-.f64 f n) #s(literal 1 binary64)) (.f64 (-.f64 f n) (/.f64 (-.f64 f n) f))))
(-.f64 (/.f64 (.f64 (neg.f64 n) (-.f64 n f)) (.f64 (-.f64 f n) (-.f64 n f))) (/.f64 (.f64 (-.f64 f n) (neg.f64 f)) (.f64 (-.f64 f n) (-.f64 n f))))
(-.f64 (/.f64 (.f64 n (/.f64 (-.f64 f n) f)) (.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))) (/.f64 (.f64 (-.f64 n f) #s(literal 1 binary64)) (.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))))
(-.f64 (/.f64 (.f64 n (-.f64 f n)) (.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (.f64 (-.f64 n f) f) (.f64 (-.f64 n f) (-.f64 f n))))
(-.f64 (/.f64 (.f64 n (-.f64 n f)) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 (-.f64 n f) (neg.f64 f)) (.f64 (-.f64 f n) (-.f64 f n))))
(-.f64 (/.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (-.f64 n f) (-.f64 n f))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 n (.f64 n n)) (.f64 (.f64 (-.f64 f n) (-.f64 f n)) (-.f64 n f))) (/.f64 (.f64 n (.f64 n n)) (.f64 (.f64 (-.f64 f n) (-.f64 f n)) (-.f64 n f)))) (fma.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (fma.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))) (.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))))))) (/.f64 (.f64 (/.f64 (.f64 f (.f64 f f)) (.f64 (-.f64 f n) (.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (.f64 f (.f64 f f)) (.f64 (-.f64 f n) (.f64 (-.f64 f n) (-.f64 f n))))) (fma.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (fma.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))) (.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n)))) (+.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))))) (/.f64 (.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n)))) (+.f64 (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n))))))
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 n n) (.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 f (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n))) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (neg.f64 n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f))) (neg.f64 (/.f64 (.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n)))))
(fma.f64 (neg.f64 n) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f))) (.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))))
(fma.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f)) (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n)))))
(fma.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f)) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))))
(fma.f64 (/.f64 n (-.f64 n f)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal -1 binary64) n)) (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n)))))
(fma.f64 (/.f64 n (-.f64 n f)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal -1 binary64) n)) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))))
(fma.f64 (.f64 n n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal 2 binary64)) (neg.f64 (/.f64 (.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n)))))
(fma.f64 (.f64 n n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal 2 binary64)) (.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))))
(fma.f64 (.f64 n n) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 f n) (-.f64 f n))) (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n)))))
(fma.f64 (.f64 n n) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 (/.f64 n (-.f64 n f)) (/.f64 #s(literal -1 binary64) n)) (neg.f64 (/.f64 (.f64 f f) (.f64 (-.f64 f n) (-.f64 f n)))))
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(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))) (+.f64 n f))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) n)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 n (-.f64 f n)))
(neg.f64 (/.f64 n (-.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) n))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 n f) n))))
(/.f64 n (-.f64 n f))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64))))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) n)) (.f64 (-.f64 f n) #s(literal 1 binary64))) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) n)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 f n)) (.f64 (-.f64 f n) n)) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 n f)) (neg.f64 (.f64 n (-.f64 f n)))) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64))) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 n f) n) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)))
(*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)))
(.f64 (/.f64 n (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f)))))
(.f64 (/.f64 n (.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 f (+.f64 n f) (.f64 n n)) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (.f64 n n)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 n f) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (/.f64 n (neg.f64 (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n)))) (fma.f64 n (+.f64 n f) (.f64 f f)))
(.f64 (/.f64 n (neg.f64 (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f)))))
(.f64 (/.f64 (neg.f64 n) (.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
(.f64 (/.f64 (neg.f64 n) (.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(.f64 (/.f64 (neg.f64 n) (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(.f64 (/.f64 n (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(.f64 (/.f64 n (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (/.f64 #s(literal -1 binary64) (fma.f64 n (-.f64 n f) (.f64 f f))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f)))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 n f) (-.f64 f n))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 n (-.f64 f n)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (/.f64 n (fma.f64 n (-.f64 n f) (.f64 f f))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 f (+.f64 n f) (.f64 n n)) (-.f64 n f))) (/.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (.f64 n n)))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 n f) (-.f64 n f))) (/.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (/.f64 (neg.f64 n) (fma.f64 n (-.f64 n f) (.f64 f f))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 n (-.f64 n f)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (/.f64 n (fma.f64 n (-.f64 n f) (.f64 f f))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 n (-.f64 f n)))
(.f64 (/.f64 (neg.f64 n) (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (.f64 f f))))
(+.f64 #s(literal 0 binary64) (neg.f64 n))
(-.f64 #s(literal 0 binary64) n)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 n n (.f64 #s(literal 0 binary64) n)))) (/.f64 (.f64 n (.f64 n n)) (+.f64 #s(literal 0 binary64) (fma.f64 n n (.f64 #s(literal 0 binary64) n)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) n)) (/.f64 (*.f64 n n) (+.f64 #s(literal 0 binary64) n)))
(neg.f64 n)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n))) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n n)) (+.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 n (.f64 n n)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 n n))) (neg.f64 (+.f64 #s(literal 0 binary64) n)))
(*.f64 n #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) n)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 f n) f)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(neg.f64 (/.f64 f (-.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) f))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 f (-.f64 f n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) f)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 (neg.f64 f) (-.f64 n f))
(/.f64 (*.f64 f #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (neg.f64 (neg.f64 f)) (-.f64 f n))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 f))) (-.f64 n f))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 f n) f))) (.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 n f)) (.f64 (-.f64 n f) f)) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) f)) (.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 f n)) (.f64 (-.f64 n f) (neg.f64 f))) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 n f)) (.f64 (-.f64 n f) (neg.f64 (neg.f64 f)))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 (neg.f64 f))) (-.f64 n f))
(pow.f64 (/.f64 (-.f64 f n) f) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 f n)))
(*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 #s(literal -1 binary64) (/.f64 f (-.f64 n f)))
(*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) f)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)))
(.f64 (/.f64 f (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (.f64 f f)))
(.f64 (/.f64 f (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f)))))
(.f64 (/.f64 f (.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
(.f64 (/.f64 f (.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 f (+.f64 n f) (.f64 n n)) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (.f64 n n)))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 n f) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (/.f64 f (fma.f64 n (-.f64 n f) (.f64 f f))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 f (-.f64 f n)))
(.f64 (/.f64 f (.f64 (fma.f64 f (+.f64 n f) (.f64 n n)) (-.f64 n f))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (.f64 n n)))))
(.f64 (/.f64 f (.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (/.f64 f (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (/.f64 #s(literal -1 binary64) (fma.f64 n (-.f64 n f) (.f64 f f))))
(.f64 (/.f64 f (/.f64 (.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(.f64 (/.f64 f (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(.f64 (/.f64 f (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (.f64 n n) (.f64 f (.f64 f f))))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (.f64 f f))))

eval297.0ms (3.6%)

Memory: 52.7MiB live, 627.1MiB allocated
Compiler: Compiled 57 896 to 3 896 computations (93.3% saved)

prune233.0ms (2.8%)

Memory

-41.3MiB live, 376.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	2 288	4	2 292
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	2 292	9	2 301

Accuracy

100.0%

Counts

2 301 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
▶	87.1%	(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
▶	47.4%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	55.0%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
▶	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
✓	46.9%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
▶	46.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
✓	54.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 134 to 77 computations (42.5% saved)

simplify310.0ms (3.8%)

Memory

35.1MiB live, 227.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 f n))
✓	cost-diff	0	#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
✓	cost-diff	0	(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
✓	cost-diff	896	(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(+.f64 n f)
✓	cost-diff	0	(/.f64 (+.f64 n f) (-.f64 n f))
✓	cost-diff	0	(-.f64 f n)
✓	cost-diff	0	(neg.f64 n)
✓	cost-diff	0	#s(approx (neg (+ f n)) (neg.f64 n))
✓	cost-diff	0	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	cost-diff	0	#s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 f (-.f64 f n))
✓	cost-diff	0	(-.f64 n f)
✓	cost-diff	0	(/.f64 n (-.f64 n f))
✓	cost-diff	896	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Rules

3 232×	`lower-fma.f64`
3 232×	`lower-fma.f32`
2 618×	`div-sub`
2 412×	`lower-*.f32`
2 410×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	146
0	41	147
1	63	147
2	106	146
3	190	138
4	375	132
5	938	132
6	2189	132
7	4144	132
8	5262	132
9	5981	132
10	6070	132
11	6104	132
12	6116	132
13	6444	132
14	6520	132
15	6661	132
16	6711	132
17	6747	132
18	6783	132
19	6901	132
20	7403	132
21	7547	132
0	8649	130

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
n
(-.f64 #s(literal -1 binary64) (/.f64 f n))
#s(literal -1 binary64)
(/.f64 f n)
f
(-.f64 f n)

Outputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) (-.f64 f n))
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
#s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(-.f64 (neg.f64 n) f)
n
(-.f64 #s(literal -1 binary64) (/.f64 f n))
#s(literal -1 binary64)
(/.f64 f n)
f
(-.f64 f n)

localize65.0ms (0.8%)

Memory

-13.4MiB live, 103.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 f n))
✓	accuracy	100.0%	#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
✓	accuracy	100.0%	(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
✓	accuracy	87.5%	(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	(+.f64 n f)
✓	accuracy	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(neg.f64 n)
✓	accuracy	100.0%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	accuracy	47.3%	#s(approx (neg (+ f n)) (neg.f64 n))
✓	accuracy	47.0%	#s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64))
✓	accuracy	46.9%	#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 f n)
✓	accuracy	100.0%	(/.f64 n (-.f64 n f))
✓	accuracy	100.0%	(/.f64 f (-.f64 f n))
✓	accuracy	100.0%	(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))

Samples

40.0ms

256×

valid

Compiler

Compiled 114 to 23 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 12.0ms (44.7% of total)

ival-sub: 5.0ms (18.6% of total)

ival-add: 4.0ms (14.9% of total)

ival-mult: 4.0ms (14.9% of total)

ival-neg: 2.0ms (7.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

16 → 372

Calls

Call 1

Inputs
#<alt (-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))>
#<alt (/.f64 n (-.f64 n f))>
#<alt (-.f64 n f)>
#<alt (/.f64 f (-.f64 f n))>
#<alt #s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))>
#<alt #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64))>
#<alt (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))>
#<alt #s(approx (neg (+ f n)) (neg.f64 n))>
#<alt (neg.f64 n)>
#<alt (-.f64 f n)>
#<alt (/.f64 (+.f64 n f) (-.f64 n f))>
#<alt (+.f64 n f)>
#<alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))>
#<alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))>
#<alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))>
#<alt (-.f64 #s(literal -1 binary64) (/.f64 f n))>

Outputs
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt (- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))>
#<alt (- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (/ f n))>
#<alt (* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))>
#<alt (* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt (* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))>
#<alt (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))>
#<alt (+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))>
#<alt (* -1 (/ f n))>
#<alt (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)>
#<alt (/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)>
#<alt (/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)>
#<alt (* -1 (/ f n))>
#<alt (* -1 (/ (+ f (/ (pow f 2) n)) n))>
#<alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* 2 (/ f n))>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 f)>
#<alt (+ (* -1 f) (* -1 n))>
#<alt (+ (* -1 f) (* -1 n))>
#<alt (+ (* -1 f) (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 n)>
#<alt (+ (* -1 f) (* -1 n))>
#<alt (+ (* -1 f) (* -1 n))>
#<alt (+ (* -1 f) (* -1 n))>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt -1>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (* -1 (/ f n))>
#<alt (* -1 (* f (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* f (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* f (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ f n))>
#<alt (* -1 (* f (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* f (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* f (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ f n))>
#<alt (/ (- (* -1 n) f) n)>
#<alt (/ (- (* -1 n) f) n)>
#<alt (/ (- (* -1 n) f) n)>
#<alt -1>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (- (* -1 (/ f n)) 1)>
#<alt -1>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (- (* -1 (/ f n)) 1)>

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	f	@	0	(* n (- -1 (/ f n)))
0.0ms	n	@	inf	(- (/ n (- n f)) (/ f (- f n)))
0.0ms	n	@	0	(* n (- -1 (/ f n)))
0.0ms	n	@	-inf	(* n (- -1 (/ f n)))
0.0ms	n	@	inf	(* n (- -1 (/ f n)))

simplify335.0ms (4.1%)

Memory

-0.9MiB live, 465.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 996×	`lower-fma.f64`
12 996×	`lower-fma.f32`
4 166×	`lower-*.f64`
4 166×	`lower-*.f32`
2 476×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	436	3523
1	1386	3268
2	4178	2795
0	8151	2566

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 360

Calls

Call 1

Inputs
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* 2 (/ f n)))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
1
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
1
(+ 1 (/ n f))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
1
(+ 1 (/ n f))
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(* -1 (/ f n))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(* -1 (/ f n))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 f)
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
-1
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
(* -1 (/ f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (/ f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (/ f n))
(/ (- (* -1 n) f) n)
(/ (- (* -1 n) f) n)
(/ (- (* -1 n) f) n)
-1
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
-1
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)

Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (.f64 f (.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(+.f64 (fma.f64 (/.f64 f (.f64 n n)) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)) (fma.f64 (/.f64 f (.f64 n n)) (fma.f64 f (/.f64 f n) f) (/.f64 (+.f64 f f) n)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
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(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(neg.f64 f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (*.f64 f (/.f64 n f)))
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (*.f64 f (/.f64 n f)))
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (*.f64 f (/.f64 n f)))
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (*.f64 f (/.f64 n f)))
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (*.f64 f (/.f64 n f)))
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (*.f64 f (/.f64 n f)))
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* n (- (/ f n) 1))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* n (- (/ f n) 1))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 f n) n) n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (.f64 f (.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (/.f64 (+.f64 n n) (.f64 f (.f64 f (neg.f64 f)))) (*.f64 n n) (fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f))) f))
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
(* -1 f)
(neg.f64 f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 n)
(neg.f64 n)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) (*.f64 f (neg.f64 f))) (fma.f64 n (/.f64 n f) n) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f))) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (.f64 f (.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(neg.f64 f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (/ f n))
(/.f64 f (neg.f64 n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (/ f n))
(/.f64 f (neg.f64 n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (/ f n))
(/.f64 f (neg.f64 n))
(/ (- (* -1 n) f) n)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(/ (- (* -1 n) f) n)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(/ (- (* -1 n) f) n)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
-1
#s(literal -1 binary64)
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
-1
#s(literal -1 binary64)
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))

rewrite520.0ms (6.3%)

Memory

5.2MiB live, 491.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 026×	`lower-/.f32`
5 014×	`lower-/.f64`
4 932×	`lower-*.f32`
4 930×	`lower-*.f64`
2 710×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	124
0	41	124
1	184	124
2	1653	124
0	8094	122

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

16 → 437

Calls

Call 1

Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
(-.f64 n f)
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))

Outputs
(+.f64 (/.f64 n (-.f64 n f)) (neg.f64 (/.f64 f (-.f64 f n))))
(+.f64 (neg.f64 (/.f64 f (-.f64 f n))) (/.f64 n (-.f64 n f)))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (neg.f64 (-.f64 f n))))
(neg.f64 (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (neg.f64 (-.f64 f n))))
(neg.f64 (/.f64 (neg.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))) (-.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))) #s(literal 1 binary64))))
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
(/.f64 (neg.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (.f64 #s(approx (neg (+ f n)) (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (.f64 #s(approx (neg (+ f n)) (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #s(literal 1 binary64))) (neg.f64 (-.f64 f n)))
(pow.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (neg (+ f n)) (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)))
(.f64 #s(approx (neg (+ f n)) (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(.f64 (neg.f64 #s(approx (neg (+ f n)) (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 f n))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(approx (neg (+ f n)) (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (neg (+ f n)) (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (neg (+ f n)) (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(.f64 (/.f64 #s(approx (neg (+ f n)) (.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
(+.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)))
(+.f64 (/.f64 f (neg.f64 n)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 (/.f64 (.f64 f f) (.f64 n n)) (+.f64 #s(literal -1 binary64) (/.f64 f n))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)))) (/.f64 (/.f64 (.f64 f f) (.f64 n n)) (-.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)))))
(fma.f64 f (neg.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 f n) #s(literal -1 binary64))
(fma.f64 (/.f64 f n) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 f f) (.f64 n n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 f f) (.f64 n n))))))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 f f) (.f64 n n)) (*.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 f f) (.f64 n n))) (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 f f) (.f64 n n))) (-.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 f f) (.f64 n n)) (*.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 f f) (.f64 n n)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 f f) (.f64 n n)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (/.f64 (.f64 f f) (.f64 n n)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 f f) (.f64 n n))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 f (.f64 f f)) (.f64 n (.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 f f) (.f64 n n)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 f (.f64 f f)) (.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 f f) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))

eval228.0ms (2.8%)

Memory: -2.9MiB live, 229.4MiB allocated
Compiler: Compiled 17 160 to 1 555 computations (90.9% saved)

prune90.0ms (1.1%)

Memory

-40.0MiB live, 186.6MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	955	2	957
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	957	9	966

Accuracy

100.0%

Counts

966 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
▶	54.8%	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
▶	87.1%	(/.f64 #s(approx (+ n f) (fma.f64 n (/.f64 f n) n)) (-.f64 n f))
✓	47.4%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	55.0%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	46.9%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	46.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
✓	54.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 79 to 45 computations (43% saved)

simplify356.0ms (4.3%)

Memory

19.6MiB live, 252.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 f)
✓	cost-diff	0	#s(approx (- n f) (neg.f64 f))
✓	cost-diff	0	(+.f64 n f)
✓	cost-diff	0	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
✓	cost-diff	0	(/.f64 f n)
✓	cost-diff	0	#s(approx (+ n f) (fma.f64 n (/.f64 f n) n))
✓	cost-diff	0	(/.f64 #s(approx (+ n f) (fma.f64 n (/.f64 f n) n)) (-.f64 n f))
✓	cost-diff	896	(fma.f64 n (/.f64 f n) n)

Rules

5 318×	`lower-fma.f32`
5 316×	`lower-fma.f64`
4 448×	`lower-*.f64`
4 448×	`lower-*.f32`
1 638×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	61
0	21	58
1	31	58
2	41	58
3	53	56
4	100	52
5	128	52
6	251	52
7	705	52
8	2320	52
9	3977	52
10	5668	52
11	6545	52
12	7002	52
13	7478	52
14	7701	52
0	8003	52

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (+ n f) (fma.f64 n (/.f64 f n) n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 n (/.f64 f n) n))
(fma.f64 n (/.f64 f n) n)
n
(/.f64 f n)
f
(-.f64 n f)
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(+.f64 n f)
n
f
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)

Outputs
(/.f64 #s(approx (+ n f) (fma.f64 n (/.f64 f n) n)) (-.f64 n f))
(/.f64 #s(approx (+ n f) (+.f64 n f)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 n (/.f64 f n) n))
#s(approx (+ n f) (+.f64 n f))
(fma.f64 n (/.f64 f n) n)
(+.f64 n f)
n
(/.f64 f n)
f
(-.f64 n f)
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(+.f64 n f)
n
f
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)

localize115.0ms (1.4%)

Memory

5.0MiB live, 43.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 n f)
✓	accuracy	100.0%	(neg.f64 f)
✓	accuracy	100.0%	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
✓	accuracy	54.8%	#s(approx (- n f) (neg.f64 f))
✓	accuracy	100.0%	(-.f64 n f)
✓	accuracy	100.0%	#s(approx (+ n f) (fma.f64 n (/.f64 f n) n))
✓	accuracy	100.0%	(/.f64 #s(approx (+ n f) (fma.f64 n (/.f64 f n) n)) (-.f64 n f))
✓	accuracy	87.5%	(fma.f64 n (/.f64 f n) n)

Samples

18.0ms

256×

valid

Compiler

Compiled 44 to 11 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (30.2% of total)

ival-add: 3.0ms (30.2% of total)

ival-mult: 2.0ms (20.1% of total)

ival-sub: 1.0ms (10.1% of total)

ival-neg: 1.0ms (10.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

9 → 204

Calls

Call 1

Inputs
#<alt (fma.f64 n (/.f64 f n) n)>
#<alt (/.f64 #s(approx (+ n f) (fma.f64 n (/.f64 f n) n)) (-.f64 n f))>
#<alt #s(approx (+ n f) (fma.f64 n (/.f64 f n) n))>
#<alt (/.f64 f n)>
#<alt (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))>
#<alt (+.f64 n f)>
#<alt #s(approx (- n f) (neg.f64 f))>
#<alt (neg.f64 f)>
#<alt (-.f64 n f)>

Outputs
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>

Calls

51 calls:

Time	Variable		Point	Expression
0.0ms	f	@	-inf	(/ f n)
0.0ms	f	@	inf	(/ f n)
0.0ms	n	@	-inf	(/ f n)
0.0ms	n	@	0	(+ (* n (/ f n)) n)
0.0ms	n	@	-inf	(/ (+ n f) (- n f))

simplify654.0ms (8%)

Memory

-5.4MiB live, 307.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 976×	`lower-fma.f64`
11 976×	`lower-fma.f32`
3 278×	`lower-*.f64`
3 278×	`lower-*.f32`
1 780×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1120
1	432	1028
2	1252	946
3	5320	910
0	8415	850

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 180

Calls

Call 1

Inputs
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))

Outputs
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal -2 binary64) (.f64 f f)) (/.f64 (+.f64 n n) (.f64 f (*.f64 f f)))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (+.f64 f (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n))) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal -2 binary64) (.f64 f f)) (/.f64 (+.f64 n n) (.f64 f (*.f64 f f)))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (+.f64 f (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n))) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)

rewrite921.0ms (11.2%)

Memory

27.7MiB live, 469.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 466×	`lower-fma.f32`
4 464×	`lower-fma.f64`
3 568×	`lower-*.f64`
3 568×	`lower-*.f32`
3 230×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	21	60
1	78	60
2	525	48
3	7809	48
0	8190	48

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

9 → 738

Calls

Call 1

Inputs
(fma.f64 n (/.f64 f n) n)
(/.f64 #s(approx (+ n f) (fma.f64 n (/.f64 f n) n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 n (/.f64 f n) n))
(/.f64 f n)
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(+.f64 n f)
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
(-.f64 n f)

Outputs
(+.f64 n f)
(+.f64 f n)
(+.f64 (/.f64 (.f64 f f) (-.f64 f n)) (neg.f64 (/.f64 (.f64 n n) (-.f64 f n))))
(+.f64 (/.f64 (.f64 n n) (-.f64 n f)) (neg.f64 (.f64 f (/.f64 f (-.f64 n f)))))
(+.f64 (-.f64 n #s(literal 0 binary64)) f)
(+.f64 (.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 n n)) (.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 f (+.f64 n f))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 f (+.f64 n f))) (.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 n n)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (fma.f64 n n (.f64 f f))) (.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 n f)))
(+.f64 (.f64 (.f64 n n) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64))) (.f64 (.f64 f (+.f64 n f)) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 f (+.f64 n f)) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64))) (.f64 (.f64 n n) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64))))
(+.f64 (.f64 (fma.f64 n n (.f64 f f)) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64))) (.f64 (.f64 n f) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64))))
(-.f64 n (neg.f64 f))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 f) n))
(-.f64 (/.f64 (.f64 f f) (-.f64 f n)) (/.f64 (.f64 n n) (-.f64 f n)))
(-.f64 (/.f64 (.f64 n n) (-.f64 n f)) (.f64 f (/.f64 f (-.f64 n f))))
(-.f64 (-.f64 n #s(literal 0 binary64)) (neg.f64 f))
(fma.f64 n (/.f64 f n) n)
(fma.f64 n #s(literal 1 binary64) f)
(fma.f64 n (/.f64 n (-.f64 n f)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 n (/.f64 (/.f64 (.f64 f f) n) (-.f64 f n)) (neg.f64 (/.f64 (.f64 n n) (-.f64 f n))))
(fma.f64 f #s(literal 1 binary64) n)
(fma.f64 f (/.f64 f (-.f64 f n)) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
(fma.f64 (/.f64 f n) n n)
(fma.f64 (/.f64 f n) (/.f64 (.f64 n f) (-.f64 f n)) (neg.f64 (/.f64 (.f64 n n) (-.f64 f n))))
(fma.f64 (neg.f64 f) #s(literal -1 binary64) n)
(fma.f64 (neg.f64 f) (*.f64 (/.f64 #s(literal -1 binary64) n) n) n)
(fma.f64 (neg.f64 f) (/.f64 n (neg.f64 n)) n)
(fma.f64 (neg.f64 n) (/.f64 f (neg.f64 n)) n)
(fma.f64 (.f64 n n) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (neg.f64 (.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (.f64 n n) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 (.f64 f (+.f64 n f)) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (*.f64 f f))) #s(literal 1 binary64))))
(fma.f64 (.f64 n n) (/.f64 (/.f64 (.f64 f f) (.f64 n n)) (-.f64 f n)) (neg.f64 (/.f64 (.f64 n n) (-.f64 f n))))
(fma.f64 (.f64 f f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 (/.f64 (.f64 n n) (-.f64 f n))))
(fma.f64 (*.f64 n f) (/.f64 #s(literal 1 binary64) n) n)
(fma.f64 (.f64 n f) (/.f64 (/.f64 f n) (-.f64 f n)) (neg.f64 (/.f64 (.f64 n n) (-.f64 f n))))
(fma.f64 (.f64 f (+.f64 n f)) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 (.f64 n n) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (*.f64 f f))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) n f)
(fma.f64 #s(literal 1 binary64) f n)
(fma.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 n f) n)
(fma.f64 #s(literal -1 binary64) (neg.f64 f) n)
(fma.f64 #s(literal -1 binary64) (neg.f64 n) f)
(fma.f64 (*.f64 n (neg.f64 f)) (/.f64 #s(literal -1 binary64) n) n)
(fma.f64 (fma.f64 n n (.f64 f f)) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 (.f64 n f) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (*.f64 f f))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 f f) (.f64 n n)) (/.f64 (.f64 n n) (-.f64 f n)) (neg.f64 (/.f64 (.f64 n n) (-.f64 f n))))
(fma.f64 (/.f64 (.f64 f f) n) (/.f64 n (-.f64 f n)) (neg.f64 (/.f64 (.f64 n n) (-.f64 f n))))
(fma.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 n n) (.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (*.f64 f (+.f64 n f))))
(fma.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (.f64 f (+.f64 n f)) (.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (*.f64 n n)))
(fma.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (fma.f64 n n (.f64 f f)) (.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (*.f64 n f)))
(fma.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (+.f64 n f))) (+.f64 n f) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 n (.f64 (-.f64 n f) (+.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 n f))) (neg.f64 (.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 (.f64 n n) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) (fma.f64 n (+.f64 n f) (.f64 f f)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 n (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f)))) (neg.f64 (.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 n (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (/.f64 n (fma.f64 n n (.f64 f (-.f64 f n)))) (neg.f64 (.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 f (neg.f64 n)) n)
(fma.f64 (/.f64 (neg.f64 f) #s(literal -1 binary64)) #s(literal 1 binary64) n)
(fma.f64 (/.f64 (.f64 n n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (neg.f64 (.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 (.f64 n n) (.f64 (+.f64 n f) (-.f64 f n))) (-.f64 (neg.f64 f) n) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 (.f64 n n) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (neg.f64 (fma.f64 n (+.f64 n f) (.f64 f f))) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 (.f64 f f) (.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
(fma.f64 (/.f64 (.f64 f f) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (.f64 f f)) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
(fma.f64 (/.f64 n (neg.f64 n)) (neg.f64 f) n)
(neg.f64 (-.f64 (neg.f64 f) n))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (fma.f64 n n (.f64 f (-.f64 f n))))
(/.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (neg.f64 (neg.f64 (fma.f64 n n (.f64 f (-.f64 f n))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (-.f64 n f))
(/.f64 (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (neg.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n))
(/.f64 (fma.f64 (.f64 f (.f64 f f)) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f))) (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (fma.f64 (.f64 f (.f64 f f)) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))))
(/.f64 (fma.f64 (.f64 f (.f64 f f)) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f))) (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (fma.f64 (.f64 n (.f64 n n)) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f))))))
(/.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) (.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))))
(/.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) (.f64 (-.f64 n f) (fma.f64 (.f64 f f) (fma.f64 n n (.f64 f f)) (.f64 n (.f64 n (.f64 n n))))))
(/.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))))
(/.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (.f64 (-.f64 f n) (fma.f64 f (.f64 f (.f64 f f)) (.f64 (.f64 n n) (fma.f64 n n (.f64 f f))))))
(/.f64 (.f64 (fma.f64 n n (.f64 f f)) (.f64 (+.f64 n f) (-.f64 f n))) (.f64 (-.f64 f n) (fma.f64 n n (*.f64 f f))))
(/.f64 (.f64 (fma.f64 n n (.f64 f f)) (.f64 (-.f64 n f) (+.f64 n f))) (.f64 (-.f64 n f) (fma.f64 n n (*.f64 f f))))
(/.f64 (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (-.f64 (.f64 (.f64 f f) (-.f64 f n)) (.f64 (-.f64 f n) (.f64 n n))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (.f64 (.f64 n n) (-.f64 n f)) (.f64 (-.f64 n f) (.f64 f f))) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 n (+.f64 n f) (.f64 f f))) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (.f64 (fma.f64 (.f64 f (.f64 f f)) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f))) (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 f (.f64 f f)) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (fma.f64 n n (*.f64 f (-.f64 f n)))))
(/.f64 (.f64 (fma.f64 (.f64 f (.f64 f f)) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f))) (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 n (.f64 n n)) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f)))) (fma.f64 n n (*.f64 f (-.f64 f n)))))
(/.f64 (.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) (fma.f64 n n (*.f64 f (-.f64 f n)))))
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(/.f64 (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (.f64 (-.f64 n f) (+.f64 n f))) (.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (+.f64 n f)))
(/.f64 (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (.f64 (+.f64 n f) (-.f64 f n))) (.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (-.f64 (neg.f64 f) n)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 n f) (-.f64 f n))) (-.f64 (neg.f64 f) n))
(/.f64 (.f64 (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)) (fma.f64 n (+.f64 n f) (.f64 f f)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) (fma.f64 n (+.f64 n f) (.f64 f f)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (neg.f64 (fma.f64 n (+.f64 n f) (.f64 f f))))
(/.f64 (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (.f64 f (.f64 f f)) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 f (.f64 f f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 (.f64 f (-.f64 f n)) (.f64 (.f64 f (-.f64 f n)) (.f64 f (-.f64 f n))) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (fma.f64 n (.f64 n (.f64 n n)) (.f64 (.f64 f (-.f64 f n)) (-.f64 (.f64 f (-.f64 f n)) (*.f64 n n))))))
(/.f64 (.f64 (.f64 (-.f64 n f) (+.f64 n f)) (.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (-.f64 (.f64 n n) (.f64 f (-.f64 f n))))) (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (-.f64 (.f64 n n) (.f64 f (-.f64 f n)))))
(/.f64 (neg.f64 (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(/.f64 (neg.f64 (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n))) (neg.f64 (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 n (.f64 n n)) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 f (.f64 f f)) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 n (.f64 n n)) (fma.f64 n (+.f64 n f) (.f64 f f))) (/.f64 (.f64 n (.f64 n n)) (fma.f64 n (+.f64 n f) (.f64 f f))) (fma.f64 (/.f64 (.f64 f (.f64 f f)) (fma.f64 n (+.f64 n f) (.f64 f f))) (/.f64 (.f64 f (.f64 f f)) (fma.f64 n (+.f64 n f) (.f64 f f))) (.f64 (/.f64 (.f64 n (.f64 n n)) (fma.f64 n (+.f64 n f) (.f64 f f))) (/.f64 (.f64 f (.f64 f f)) (fma.f64 n (+.f64 n f) (*.f64 f f)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 n n) (+.f64 n f)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 f f) (+.f64 n f)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 n n) (+.f64 n f)) (/.f64 (.f64 n n) (+.f64 n f)) (fma.f64 (/.f64 (.f64 f f) (+.f64 n f)) (/.f64 (.f64 f f) (+.f64 n f)) (.f64 (/.f64 (.f64 n n) (+.f64 n f)) (/.f64 (*.f64 f f) (+.f64 n f))))))
(/.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) #s(literal 1 binary64)) (+.f64 n f))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 n (.f64 n n)) (fma.f64 n (+.f64 n f) (.f64 f f))) (/.f64 (.f64 n (.f64 n n)) (fma.f64 n (+.f64 n f) (.f64 f f)))) (.f64 (/.f64 (.f64 f (.f64 f f)) (fma.f64 n (+.f64 n f) (.f64 f f))) (/.f64 (.f64 f (.f64 f f)) (fma.f64 n (+.f64 n f) (.f64 f f))))) (fma.f64 (.f64 n n) (/.f64 n (fma.f64 n (+.f64 n f) (.f64 f f))) (/.f64 (.f64 f (.f64 f f)) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 n n) (+.f64 n f)) (/.f64 (.f64 n n) (+.f64 n f))) (.f64 (/.f64 (.f64 f f) (+.f64 n f)) (/.f64 (.f64 f f) (+.f64 n f)))) (fma.f64 n (/.f64 n (+.f64 n f)) (/.f64 (*.f64 f f) (+.f64 n f))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (fma.f64 (.f64 f (-.f64 f n)) (.f64 (.f64 f (-.f64 f n)) (.f64 f (-.f64 f n))) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n))))) (fma.f64 n (.f64 n (.f64 n n)) (.f64 (.f64 f (-.f64 f n)) (-.f64 (.f64 f (-.f64 f n)) (.f64 n n)))))
(/.f64 (.f64 (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (-.f64 (.f64 n n) (.f64 f (-.f64 f n))))) (-.f64 (.f64 n n) (*.f64 f (-.f64 f n))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))) (.f64 (.f64 f (.f64 f f)) (.f64 (.f64 f (.f64 f f)) (.f64 f (.f64 f f))))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f)))) (fma.f64 (.f64 f (.f64 f f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)))))
(/.f64 (.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f)))) (fma.f64 f (.f64 f f) (.f64 n (*.f64 n n))))
(/.f64 (.f64 (.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (fma.f64 (.f64 f f) (fma.f64 n n (.f64 f f)) (.f64 n (.f64 n (.f64 n n)))))
(/.f64 (.f64 (.f64 (fma.f64 n n (.f64 f f)) (.f64 (-.f64 n f) (+.f64 n f))) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (fma.f64 n n (*.f64 f f)))
(/.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) #s(literal -1 binary64)) (+.f64 n f))
(/.f64 (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64))) (fma.f64 n (+.f64 n f) (.f64 f f)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal -1 binary64))
(*.f64 (-.f64 n f) #s(literal 1 binary64))
(*.f64 (+.f64 n f) (/.f64 (-.f64 n f) (+.f64 n f)))
(.f64 (+.f64 n f) (.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(.f64 (fma.f64 n n (.f64 f (-.f64 f n))) (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))))
(.f64 (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f))))
(.f64 (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64)))
(.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (/.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f)))))
(*.f64 #s(literal 1 binary64) (-.f64 n f))
(*.f64 #s(literal -1 binary64) (-.f64 f n))
(.f64 (.f64 (-.f64 n f) (+.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(.f64 (.f64 (-.f64 n f) (+.f64 n f)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 n f) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 f) n)))
(.f64 (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n (+.f64 n f) (.f64 f f)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (.f64 (-.f64 n f) (+.f64 n f)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (.f64 f f))) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))))
(.f64 (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (fma.f64 n n (.f64 f (-.f64 f n))))
(.f64 (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (/.f64 (fma.f64 n n (.f64 f (-.f64 f n))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (/.f64 (-.f64 n f) (+.f64 n f)))
(.f64 (/.f64 (+.f64 n f) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (-.f64 f n))))))
(.f64 (/.f64 (+.f64 n f) (.f64 (/.f64 (+.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) #s(literal 1 binary64))) (/.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))))
(.f64 (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(.f64 (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 f (.f64 f f) (.f64 n (.f64 n n)))) (neg.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(.f64 (/.f64 (.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (-.f64 n f) (+.f64 n f))) (-.f64 f n))
(.f64 (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (neg.f64 (fma.f64 f (.f64 f f) (.f64 n (.f64 n n))))) (neg.f64 (fma.f64 n n (.f64 f (-.f64 f n)))))
(.f64 (/.f64 (.f64 (-.f64 n f) (+.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n))
(.f64 (/.f64 (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) (fma.f64 (.f64 n (.f64 n n)) (.f64 n (.f64 n n)) (.f64 (.f64 f (+.f64 n f)) (.f64 (.f64 f (+.f64 n f)) (.f64 f (+.f64 n f)))))) (fma.f64 (.f64 f (+.f64 n f)) (-.f64 (.f64 f (+.f64 n f)) (.f64 n n)) (.f64 n (.f64 n (.f64 n n)))))
(.f64 (/.f64 (.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (.f64 f f))) (.f64 (fma.f64 n (+.f64 n f) (.f64 f f)) (-.f64 (.f64 n n) (.f64 f (+.f64 n f))))) (-.f64 (.f64 n n) (*.f64 f (+.f64 n f))))

eval142.0ms (1.7%)

Memory: -29.1MiB live, 247.1MiB allocated
Compiler: Compiled 21 854 to 1 697 computations (92.2% saved)

prune195.0ms (2.4%)

Memory

26.3MiB live, 306.3MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	918	0	918
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	918	9	927

Accuracy

100.0%

Counts

927 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 n f) (-.f64 n f))
✓	54.8%	(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
✓	87.1%	(/.f64 #s(approx (+ n f) (fma.f64 n (/.f64 f n) n)) (-.f64 n f))
✓	47.4%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓	55.0%	(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
✓	46.9%	#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
✓	46.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
✓	54.1%	#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Compiler

Compiled 206 to 82 computations (60.2% saved)

regimes15.0ms (0.2%)

Memory

1.8MiB live, 41.1MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 #s(approx (+ n f) (fma.f64 n (/.f64 f n) n)) (-.f64 n f))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))

Calls

3 calls:

5.0ms	f
5.0ms	n
5.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
100.0%	1	`f`
100.0%	1	`n`
100.0%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory

-12.1MiB live, 27.3MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))

Calls

3 calls:

4.0ms	n
4.0ms	f
3.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
100.0%	1	`f`
100.0%	1	`n`
100.0%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory

-13.7MiB live, 25.6MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))

Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))

Calls

3 calls:

4.0ms	f
3.0ms	n
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
73.9%	3	`f`
78.1%	3	`n`
98.7%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes2.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))

Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))

Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))

Calls

1 calls:

2.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))

#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ 1 (/ (+ f f) n)) #s(literal 1 binary64)))

Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))

Calls

1 calls:

1.0ms

(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

13.5MiB live, 13.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Calls

3 calls:

1.0ms	f
1.0ms	n
1.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
54.1%	1	`f`
54.1%	1	`n`
54.1%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999967789322624	0.9999999999999993

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999967789322624	0.9999999999999993

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999967789322624	0.9999999999999993

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch14.0ms (0.2%)

Memory

-8.1MiB live, 32.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-0.9999967789322624	0.9999999999999993

Samples

4.0ms

240×

valid

Compiler

Compiled 163 to 131 computations (19.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify23.0ms (0.3%)

Memory

-1.5MiB live, 36.6MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`unsub-neg_binary64`
110×	`distribute-lft-neg-in_binary64`
90×	`neg-mul-1_binary64`
52×	`neg-sub0_binary64`
50×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	160
1	52	160
2	66	160
3	77	156
4	92	156
5	122	156
6	148	156
7	190	156
8	244	156
9	274	156
10	299	156
11	321	156
12	356	156
13	395	156
14	423	156
15	445	156
16	455	156
17	457	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

soundness601.0ms (7.3%)

Memory

0.7MiB live, 436.4MiB allocated

Rules

14 778×	`lower-fma.f64`
14 778×	`lower-fma.f32`
3 728×	`lower-*.f64`
3 728×	`lower-*.f32`
2 824×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	539
1	448	504
2	1334	469
3	5180	459
0	8647	432
0	6	18
0	10	18
1	46	18
2	327	17
0	5530	17

Stop Event

1×	done
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 191 to 81 computations (57.6% saved)

preprocess38.0ms (0.5%)

Memory: -12.4MiB live, 102.5MiB allocated
Compiler: Compiled 224 to 62 computations (72.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	36	160
1	52	160
2	66	160
3	77	156
4	92	156
5	122	156
6	148	156
7	190	156
8	244	156
9	274	156
10	299	156
11	321	156
12	356	156
13	395	156
14	423	156
15	445	156
16	455	156
17	457	156

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	36	160
1	52	160
2	66	160
3	77	156
4	92	156
5	122	156
6	148	156
7	190	156
8	244	156
9	274	156
10	299	156
11	321	156
12	356	156
13	395	156
14	423	156
15	445	156
16	455	156
17	457	156

analyze14.0ms (0.2%)

sample591.0ms (7.2%)

preprocess76.0ms (0.9%)

explain103.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.3%)

localize154.0ms (1.9%)

series5.0ms (0.1%)

simplify417.0ms (5.1%)

rewrite198.0ms (2.4%)

eval85.0ms (1%)

prune118.0ms (1.4%)

simplify97.0ms (1.2%)

localize141.0ms (1.7%)

series40.0ms (0.5%)

simplify370.0ms (4.5%)

rewrite576.0ms (7%)

eval297.0ms (3.6%)

prune233.0ms (2.8%)

simplify310.0ms (3.8%)

localize65.0ms (0.8%)

series10.0ms (0.1%)

simplify335.0ms (4.1%)

rewrite520.0ms (6.3%)

eval228.0ms (2.8%)

prune90.0ms (1.1%)

simplify356.0ms (4.3%)

localize115.0ms (1.4%)

series3.0ms (0%)

simplify654.0ms (8%)

rewrite921.0ms (11.2%)

eval142.0ms (1.7%)

prune195.0ms (2.4%)

regimes15.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify23.0ms (0.3%)

soundness601.0ms (7.3%)

preprocess38.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	20
0	10	20
1	21	20
2	41	20
3	78	19
4	163	19
5	307	19
6	610	19
7	722	19
8	754	19
9	770	19
10	771	19
0	771	19

Iter	Nodes	Cost
0	36	160
1	52	160
2	66	160
3	77	156
4	92	156
5	122	156
6	148	156
7	190	156
8	244	156
9	274	156
10	299	156
11	321	156
12	356	156
13	395	156
14	423	156
15	445	156
16	455	156
17	457	156